A Fully Discrete SCNFVE Formulation for the Non-stationary Navier-Stokes Equations

作者：Luo Zhendong^*; Teng Fei

来源：Computer Modeling in Engineering & Sciences, 2014, 101(1): 33-58.

• Non-stationary Navier-Stokes equations
• stabilized Crank-Nicolson finite volume element formulation
• local Gauss integral and parameter-free
• error estimate

A semi-discrete Crank-Nicolson (CN) formulation about time and a fully discrete stabilized CN finite volume element (SCNFVE) formulation based on two local Gauss integrals and parameter-free with the second-order time accuracy are established for the non-stationary Navier-Stokes equations. The error estimates of the semi-discrete and fully discrete SCNFVE solutions are derived. Some numerical experiments are presented to illustrate that the fully discrete SCNFVE formulation possesses more advantages than its stabilized finite volume element formulation with the first-order time accuracy, thus validating that the fully discrete SCNFVE formulation is feasible and efficient for finding the numerical solutions of the non-stationary Navier-Stokes equations.

• 出版日期2014-9
• 单位华北电力大学; 华北电力大学（保定）